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Quotient Rings of Noncommutative Rings in the First Half of the 20th Century
Archive for History of Exact Sciences 58 (3):255-281 (2004)
Abstract
Abstract.A keystone of the theory of noncommutative noetherian rings is the theorem that establishes a necessary and sufficient condition for a given ring to have a quotient ring. We trace the development of this theorem, and its applications, from its first version for noncommutative domains in the 1930s to Goldie’s theorems in the late 1950s.Author's Profile
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Citations of this work
Embedding semigroups in groups: not as simple as it might seem.Christopher Hollings - 2014 - Archive for History of Exact Sciences 68 (5):641-692.
A lost chapter in the pre-history of algebraic analysis: Whittaker on contact transformations.S. C. Coutinho - 2010 - Archive for History of Exact Sciences 64 (6):665-706.
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